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Finding the Fourth Proportional to 558.78, 843.20 and 539.48

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Solution

The fourth proportional to 558.78, 843.20 and 539.48 is: 814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.78 : 843.20 = 539.48 : x
  2. Step 2: Convert to fraction form
    558.78/843.20 = 539.48/x
  3. Step 3: Cross multiply
    558.78x = 843.20 × 539.48
  4. Step 4: Simplify right side
    558.78x = 454,882.62
  5. Step 5: Solve for x
    x = 454,882.62/558.78
  6. Step 6: Final answer
    x = 814.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.